{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 实验3，调整epsilon\n",
    "\n",
    "### 环境及智能体\n",
    "\n",
    "- 环境： MinorityGame_1， 少数派游戏，101人博弈，无穷博弈，创建环境时可自定义环境承载量，本实验中固定为50\n",
    "- 智能体：QLearningAgent，创建智能体时支持自定义学习率、折扣因子以及探索系数，本实验中固定折扣因子和学习率，观察不同探索系数对玩家决策及收益的影响\n",
    "\n",
    "### 实验结果\n",
    "\n",
    "101人少数博弈，固定环境承载量为50，学习率为0.1，折扣因子为0.1时，选取不同的探索系数,观察玩家决策和平均收益,发现:\n",
    "\n",
    "1. 分别选用探索系数 0.01，0.02，0.05，0.1，0.3，0.6，0.9，越高的探索系数带来越多的决策波动;\n",
    "2. 分别选用探索系数 0.01，0.02，0.05，0.1，0.3，0.6，0.9，策略稳定后，探索系数越小，平均收益越接近最优；\n",
    "3. 过大的探索系数容易导致玩家偏向随机决策，如果所有智能体完全随机决策（等概率选择0，1）则每回合总收益期望为46.5(实验模拟测得46.507)，而探索率低于0.1的Qlearning智能体都高于这个数值，其中探索系数为0.01时，3000轮博弈中平均每轮玩家总收益已达到49.7，相当接近理论最优50。\n",
    "4. 因为Qlearning智能体默认在Q表值相等时会去探索，所以其实前几轮博弈中玩家一定会去进行探索，故设置探索系数为0不会影响前期玩家调整策略，并且设置探索系数为0可以让大多数玩家平均收益更接近最优，副作用是会导致部分玩家无法调整策略，出现3000轮收益为0.\n",
    "\n",
    "### 实验内容\n",
    "\n",
    "#### 实验准备"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MG环境\n",
    "import gym\n",
    "from gym import spaces\n",
    "from gym.utils import seeding\n",
    "import random\n",
    "import numpy as np\n",
    "import copy\n",
    "import math, random\n",
    "from collections import deque\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# %matplotlib inline\n",
    "\n",
    "class MinorityGame_1(gym.Env):\n",
    "    '''\n",
    "    Minority Game, we have some agent, every agent can choose 1 or 0 every day.\n",
    "    In midnight, all of the day to make a few choices of the agent to get +1 reward.\n",
    "    '''\n",
    "\n",
    "    def __init__(self, env_max=50):\n",
    "        '''\n",
    "        环境初始化:\n",
    "        玩家数固定101;\n",
    "        env_max 环境承载量，选择1能获取收益的最大人数，默认为50;\n",
    "        action_space 动作空间，大小为2，玩家只能选择0或1;\n",
    "        observation_space 观测空间，这个环境使用2，玩家立足于上一次博弈的状态;\n",
    "        '''\n",
    "        self.env_max = env_max\n",
    "        self.action_space = spaces.Discrete(2)\n",
    "        self.observation_space = spaces.Discrete(2)\n",
    "        self.seed()\n",
    "\n",
    "\n",
    "    def seed(self, seed=None):\n",
    "        '''\n",
    "        设置seed\n",
    "        '''\n",
    "        self.np_random, seed = seeding.np_random(seed)\n",
    "        return [seed]\n",
    "\n",
    "    def step(self, action_101):\n",
    "        '''\n",
    "        每一步博弈：\n",
    "        1. 检查输入是否合法\n",
    "        2. 统计选择1的人数allpick，allpick不超过env_max则1获胜，否则0获胜\n",
    "        3. 返回S(玩家本回合动作), R(所有玩家的奖励列表), done(False，无尽博弈)\n",
    "        '''\n",
    "        assert len(action_101) == 101\n",
    "        assert all(map(lambda x:self.action_space.contains(x), action_101))\n",
    "        allpick = sum(action_101)\n",
    "        reward_101 = []\n",
    "        for action in action_101:\n",
    "            if action == 1 and allpick <= self.env_max or action == 0 and allpick > self.env_max:\n",
    "                reward_101.append(1)\n",
    "            else:\n",
    "                reward_101.append(0)\n",
    "\n",
    "        done = True\n",
    "\n",
    "        return action_101, reward_101, done, {}\n",
    "\n",
    "    def reset(self):\n",
    "        '''\n",
    "        重置环境，每轮第一次博弈给所有玩家一个随机状态\n",
    "        '''\n",
    "        # return [0]*101\n",
    "        return [random.randint(0,1) for _ in range(101)]\n",
    "\n",
    "# Qlearning智能体\n",
    "class QLearningAgent:\n",
    "    '''\n",
    "    Q-learning智能体实现\n",
    "    '''\n",
    "\n",
    "    def __init__(self, env, gamma=0.9, learning_rate=0.1, epsilon=0.1):\n",
    "        '''\n",
    "        Q-learning智能体初始化:\n",
    "        env 智能体的博弈环境；\n",
    "        gamma 折扣因子，n步后的奖励为 pow(gamma, n)*Rn, gamma越大表示越重视长期收益。\n",
    "        learning_rata 学习率，Qlearning 更新过程为:Q(s,a) += learning_rate * (R + gamma * Qmax - Q(s,a)),\n",
    "                      学习率越大表示越不依赖过去学习的结果\n",
    "        '''\n",
    "        self.gamma = gamma\n",
    "        self.learning_rate = learning_rate\n",
    "        self.epsilon = epsilon\n",
    "        self.action_n = env.action_space.n\n",
    "        self.q = np.zeros((env.observation_space.n, env.action_space.n))\n",
    "        \n",
    "\n",
    "    def decide(self, state):\n",
    "        '''\n",
    "        epsilon-greedy策略，另外Q表所有值相等表示智能体还没有学到任何经验，这时也鼓励探索。\n",
    "        '''\n",
    "        if np.random.uniform() > self.epsilon and self.q[state].argmax() != self.q[state].argmin():\n",
    "            action = self.q[state].argmax()\n",
    "        else:\n",
    "            action = 0 if np.random.randint(self.action_n) < 0.5 else 1\n",
    "        return action\n",
    "    \n",
    "    def learn(self, state, action, reward, next_state, done):\n",
    "        '''\n",
    "        Q(s,a) += learning_rate * (R + gamma * Qmax - Q(s,a)\n",
    "        '''\n",
    "        u = reward + self.gamma * self.q[next_state].max()\n",
    "        td_error = u - self.q[state, action]\n",
    "        self.q[state, action] += self.learning_rate * td_error\n",
    "\n",
    "def play_qlearning(env, agent_101, episodes,render=False):\n",
    "    '''\n",
    "    Qlearning智能体一次游戏\n",
    "    参数:\n",
    "    env: 游戏环境\n",
    "    agent_101：101个智能体列表\n",
    "    episodes: 最大轮数\n",
    "    render：是否图形显示\n",
    "    返回值：\n",
    "    episode_reward\n",
    "    '''\n",
    "    episode_rewards = []\n",
    "    episode_actions = []\n",
    "    # 初始化S\n",
    "    observation_101 = env.reset()\n",
    "    for _ in range(episodes):\n",
    "        # 各智能体根据环境选择动作\n",
    "        action_101 = [agent.decide(observation) for agent, observation in zip(agent_101, observation_101)]\n",
    "        # 执行动作后得到环境奖励和新状态\n",
    "        next_observation_101, reward_101, done, _ = env.step(action_101)\n",
    "        # 为所有智能体更新Q表\n",
    "        for agent, observation, action, reward, next_observation in zip(agent_101, observation_101, action_101, reward_101, next_observation_101):\n",
    "            agent.learn(observation, action, reward, next_observation,done)\n",
    "        # 更新状态\n",
    "        observation = next_observation\n",
    "        # 上面是Q-learning完整的一步，下面是数据统计\n",
    "        # 统计动作\n",
    "        episode_actions.append(action_101)\n",
    "        # 统计奖励\n",
    "        episode_rewards.append(reward_101)\n",
    "    return episode_rewards, episode_actions\n",
    "\n",
    "def moving_average(lst, N):\n",
    "    '''\n",
    "    计算移动平均\n",
    "    参数:\n",
    "    lst: 输入列表\n",
    "    N: 窗口大小\n",
    "    返回值:\n",
    "    res: 移动平均列表\n",
    "    '''\n",
    "    res = []\n",
    "    for i in range(len(lst)):\n",
    "        l = max(i-N+1, 0)\n",
    "        r = i+1\n",
    "        res.append(sum(lst[l:r])/(r-l))\n",
    "    return res\n",
    "\n",
    "def density(lst):\n",
    "    '''\n",
    "    将玩家决策原始数据转换成密度数据\n",
    "    参数:\n",
    "    lst: 玩家决策原始数据\n",
    "    返回值:\n",
    "    res: 玩家决策密度数据\n",
    "    例:\n",
    "    输入: [1,1,2,3]\n",
    "    输出: [0,2,1,1] + [0]*98\n",
    "    '''\n",
    "    from collections import Counter\n",
    "    res = [0] * 102\n",
    "    tbl = Counter(lst)\n",
    "    for i in tbl:\n",
    "        res[i] = tbl[i]/len(lst)\n",
    "    return res\n",
    "\n",
    "def variance(lst, N):\n",
    "    '''\n",
    "    序列转为方差序列\n",
    "    参数:\n",
    "    lst: 输入序列\n",
    "    N: 计算方差所需元素数\n",
    "    返回值:\n",
    "    res: 方差序列\n",
    "    '''\n",
    "    import numpy as np\n",
    "    res = []\n",
    "    for i in range(len(lst)):\n",
    "        l = max(i-N+1, 0)\n",
    "        r = i+1\n",
    "        res.append(np.var(lst[l:r]) if l else 0)\n",
    "    return res"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 实验过程\n",
    "\n",
    "1. 基础测试：gamma = 0.1, learning_rate=0.1, epislon=0,1, 博弈3000次，观察玩家收益和动作"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.1) for _ in range(101)]\n",
    "\n",
    "rewards_0, actions_0 = play_qlearning(env,agent_101,3000)\n",
    "\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_0])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. 调整epsilon，观测对结果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.05) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1a, actions_1a = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1a])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.3) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1b, actions_1b = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1b])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.6) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1c, actions_1c = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1c])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.9) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1d, actions_1d = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1d])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon对平均收益的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon对平均收益的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1d],10),label ='0.9')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1c],10),label ='0.6')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1b],10),label ='0.3')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10),label ='0.05')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 因为epsilon过大时玩家更倾向于随机决策，下面加做几组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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o5+dx90dPSUz/5P0ncO/HTk1MJw/+yR781Fwalixg6Qd6fzDx+AmpfSt52zqQF7c088FTa702XZgof9/JEw+57EBkTQC0dXZzze0rmPcvj3HN7Sv4f4+t6zfPpceNBWDRqbWJMrPYbcC7/eiZUzAzplQWAiT2lqZUFiTK4vOPK83jC+dM47Xt+9jfFeU7//CulOe72RvIF58xxXsuS1kHwPnvGkNuOJhStnBGdeL+/KOruHjW2MT069tbUuY9ZfIoFkyv4uRJ5YnBJxw0yr3DuymVhcytqyQctMQySy6YTk4owBfOmZbo7EdVF3JV/XimVhUyqaIg5TlOmFjG+PI8QgHjollj+dBpve33T/8n9prj4XNFfW8AfPDU2pTX5hws/WvvXlnclfU1HD+htF95vK1Gl+Qya3wpFxw7hotnx9rim5fEBqFvXJI6GBXnhrjh3KMT06dPreCRVxv53XNvJtY5ubL39U2pKuDS48b1e+6v/f9X+pV95IzJKdOXzh7L/KOrUsqSB7Tx5Xmce0xs+u/renccbnlwNT0OLpo1lplji5lWXcSzm/ZQOyqf2ePLuMg7jfDC5lgoFeWGEu/tF87pDcAPz50EQCDQ+95C7L3MCwcTRw9xm3ftp3FfB186P9Y+16cJ097XUZ22fN60Sv7huHEEDG4672hCAePrF8/kk++ODbDfvPSYfm01pbKAUDDAlfU1/fpX8rYIJPqLmXHpcWN56c1mHHDrZbF+dvVJE/j4vCmMKohw9YnjqSnLSyxbPzHWRgGLDcQfOq2WqVWFXFlfk3iPPzx3Ml8+P9b/r5nTOwjGtzkzI5R0NN63f910Xm/fOvOoSubWVTC3roJ50yoBaNrXe4R20qRyygsi1I5K7W8TR+X3a9fCnN6TKbHtLT+xjsKcENcvPIoJfZbLDQf5YJ/2A6gsymHxGZOZ6p0qvChp/Lhu/lRK88NcUV/Tb7nBMHeAc4gjqb6+3v38vuVc+MMnUso/Nm8Kn5pfRyQUINhnIwHoivYQ7XGJw9fkwWpPWyezv7EsMd2wZAGPrG7ki/e+yJX1NXzjkmMIBoxwMMC+9i5CgQB5kSAd3VFm3PxnIsEAz928sN/g/pnfPMcfnt/KD66ezVnTqymIBDHrX7d0enock7/0YGK6piyPJ26Yn5h+ccseLv7R3yjLD1NXVcSKDbtYes0JnO0d8TjnaO2MpnS2gYq3Vd/XMxC1N/4RiA3Oe9u7mVVTwn2fPD1lnmiPo7O7h7xIMDH/w587g6lVRYdc/6U//hvPb97DXYvnMHtCKXvaujj5n5ZTWZTD0zedxZbd+znjXx4FYqdfkuv0xrfPx8xo6+wmJxQkGDAu/tETvLilmY/Pm8IXk8Ikebk1t5xHOBjgoZffYvEvViYef+T6M5n/vb8knqtxXzsn3bKcotwQ+9q7+eW1J3Ps+BIiwUCiLbujPbR1xa6VhIOxwae9K0pntIeinNCA+ke8XhAbpP/9/SfQGe0hFDDyIyE272pj7j8/SjBgPLtkISX54YOub2dLByfe8jDBQO9plkc/P4+J5fn9AudQdYq31YFsa97PKd9+BOh9fyDWX1s6ugkntdXBnufJm+YzpiRvwG0X7XFMv/lPADz7lYWJ7eKYr/6Zlo5uHrjudI4ZV4Jzjllff4iWjm5WLllI2QHOnV/782dY/moj1y88iuvOqktbx3h/S36/AH770VM4sbY8pR/2dcM9L6YcFSa3VdO+2PuVXN4d7aH7ANtsW2c3M27+MxtvvXClcy7d77IPSNYcAaxraulXdvaMavIi6RsTSHSsdB0sds6+16iCCMeMix3mXnjs2MRyAEW5YfIiseVzQkGmVRexcEZ12oY/ZlwJBZEg86ZVUTjAjTsuELCUUzCXzk7dc43vWV12fA3neHueddW9A6iZDWrwBw65ER7MOTNje1fxo4QZY0v6zRMMWKINr/KOIiaUF/SbL52LZo0lNxxg+thickJBqotzOXlSOceOKyEQMCaMyicvHKSyqPd896iCCGYk2j8/Ekr0k8tPiO0dxY82kh1VHTsqib/3c+sqKcnrHUzje3vx11xZmENRTmzwB5g4Kp/i3HBKW4aCsWtTyYNkbjhIcW54wP0j+dTbWdOrE8vnR2Lv9/jyfGaNL2VuXcUhB3+AUYU5nDa1gjmTe0+ZTDiMwR9galVqWx3I6OJcoP9Rh5lR1Ket0okvF1/PQNsuGDBmji1mvrctxsXf//j2ZGa8q6aE0+sqDzj4Q+/ppQtn9e838brF6zS+PC/l8TJvvEnuh32dXleRuH9un9PYFYWx5eNHIhDrVwdqu3i/yFTWHAG899u/5oePrOH3Hz+NmrI8uqI9jCnJO/TCB7G7tZNg0OiOusQplbea2xldknvQ5ZrbYp8AiQ9oybqiPexp60oZjA6Hc47GfR2YwaiCnH6dpWlfh3dR2Wjc10F18cHrOhI6uqO0dkQpyAny2lv7qKsqSts2cV3RHpr3d1FROLA26ulx7GjpoCrpte5r70oJvH3tsYtlRbmxwa+1o5se5xLTyZyLfXojXf/Z3xnbu0we9He2dBAOBXA9UJIfZldrJwU5wcSFzvjeN8Br3zo35QL7UIm3WbTHUVWUk3bwa97fRTAw8J2Alo5unHO862sPAal7nAORrq0OpG+bHY54/yofxKdamvd3EQoYBUlt0h3tYXefbXRvexeBQ+xApeuHca0d3USdo9jrb22dsU8R1X8rttf+7FcWDqj+2/e2Ew4GEhfWk+1u7ST/MNqwua2L0oJIRkcAWfMpoDd2tDK+LJ/Z4/ufSx6sdGl/qMEfOOgeVjgYGPTgD7E9iIMN6snrzobBH2JHRfFOeWzNod+fcDAw4MEfYkdGfTe6vgN73+mCg2zIZnbAnYe8SJA8UjewUX3q2ndDHl+eT0EkSGtndFgGfxhYmw1kIE422KPFuHRtdSCDGbzjkvvX4UrXJqE022hxmh2FvtL1w7i+/S0/EkrZCx/oe3OwbfpgRyfpDORI8FCyJgB2tnRQlcHAKjKcHv/iu2lK+gjn28nfbpxP9CAfm5bMHei0T7bLmgDY1dqZuHIukm1GFeb0O1J4uxhXmtmpVHnnypoA2N3WyawBnF4QEckWD35qLnvbD/7PXNksewKgteuwz4GJiBxJM8YWH+kqZCQrPgba4xyd0R7KCzK/qCEiIgOTFQHQ7V2gKsvXEYCIyEjJigCIfwmVAkBEZORkRQDEv91P1wBEREZOVgRA/Hu8i3Oz5pq0iMg7XlYEwF7vu7UP9Z0jIiIydLJixI3/uMLb9b/pRETejjIOADMLmtlzZvaANz3JzJ42szVmdpeZDfjEfiioABARGSlDcQTwaSD5twBvBW5zztUBu4FrB7oiHQGIiIycjALAzGqAC4CfetMGzAfu8Wa5A7h0oOtL/iUfEREZXpmOuN8HvgjEfxhzFLDHOdftTW8B+v9e3wHoFJCIyMgZdACY2YVAo3NuZXJxmlnTfg+tmS02swYza4iXhXQKSERkxGTywfvTgIvN7HwgFygmdkRQamYh7yigBtiabmHn3FJgKUDOmDoHugYgIjKSBn0E4Jy7yTlX45yrBa4GHnHOvQ94FLjcm20RcN9A16lrACIiI2c4RtwbgM+Z2Vpi1wRuH3BldAAgIjJihuS7F5xzjwGPeffXAycddkUClvaHsEVEZHhkzTkXnf8XERlZWRMA2vkXERlZWRMALu2HRUVEZLhkTQCIiMjIUgCIiPiUAkBExKeyJgB0CUBEZGRlTQCIiMjIUgCIiPhU9gSAzgGJiIyo7AkAEREZUQoAERGfUgCIiPhU1gSA00UAEZERlTUBICIiI0sBICLiUwoAERGfUgCIiPhU1gSAfg9ARGRkZU0AiIjIyMqaANABgIjIyMqaABARkZGVNQGg34QXERlZWRMAOgUkIjKysiYARERkZGVNADh9DlREZERlTQCIiMjIUgCIiPiUAkBExKeyIgDywkF+9N7jj3Q1RER8JSsCYGpVIee/a8yRroaIiK9kRQCIiMjIUwCIiPiUAkBExKcGHQBmNt7MHjWz1Wb2spl92isvN7NlZrbGuy0buuqKiMhQyeQIoBu43jk3HZgDfMLMZgA3Asudc3XAcm9aRESyzKADwDm3zTn3rHd/H7AaGAdcAtzhzXYHcGmmlRQRkaE3JNcAzKwWOA54Gqh2zm2DWEgAVUPxHCIiMrQyDgAzKwTuBT7jnNt7GMstNrMGM2toamrKtBoiInKYMgoAMwsTG/x/5Zz7nVe83czGeI+PARrTLeucW+qcq3fO1VdWVmZSDRERGYRMPgVkwO3AaufcvyY9dD+wyLu/CLhv8NUTEZHhEspg2dOAa4CXzOx5r+xLwHeAu83sWmATcEVmVRQRkeEw6ABwzj3BgX/K96zBrldEREaG/hNYRMSnFAAiIj6lABAR8SkFgIiITykARER8SgEgIuJTCgAREZ9SAIiI+JQCQETEpxQAIiI+pQAQEfEpBYCIiE8pAEREfEoBICLiUwoAERGfUgCIiPiUAkBExKcUACIiPqUAEBHxKQWAiIhPKQBERHxKASAi4lMKABERn1IAiIj4lAJARMSnFAAiIj6lABAR8SkFgIiITykARER8SgEgIuJTCgAREZ9SAIiI+JQCQETEpxQAIiI+NSwBYGbnmtlrZrbWzG4cjucQEZHMDHkAmFkQ+DFwHjADeI+ZzRjq5xERkcwMxxHAScBa59x651wn8BvgkmF4HhERycBwBMA4YHPS9BavTEREskhoGNZpacpcv5nMFgOLvckOM1s1DHV5O6oAdhzpSmQJtUUvtUUvtUWvaZksPBwBsAUYnzRdA2ztO5NzbimwFMDMGpxz9cNQl7cdtUUvtUUvtUUvtUUvM2vIZPnhOAX0DFBnZpPMLAJcDdw/DM8jIiIZGPIjAOdct5l9EvgzEAR+5px7eaifR0REMjMcp4Bwzj0IPHgYiywdjnq8TakteqkteqkteqktemXUFuZcv+uzIiLiA/oqCBERnzriAeC3r40ws5+ZWWPyx17NrNzMlpnZGu+2zCs3M/s3r21eNLPjj1zNh5aZjTezR81stZm9bGaf9sr92Ba5ZrbCzF7w2uLrXvkkM3vaa4u7vA9VYGY53vRa7/HaI1n/4WBmQTN7zswe8KZ92RZmtsHMXjKz5+Of+BnKbeSIBoBPvzbi58C5fcpuBJY75+qA5d40xNqlzvtbDPxkhOo4ErqB651z04E5wCe8996PbdEBzHfOzQJmA+ea2RzgVuA2ry12A9d6818L7HbOTQVu8+Z7p/k0sDpp2s9t8W7n3Oykj74O3TbinDtif8ApwJ+Tpm8CbjqSdRqh110LrEqafg0Y490fA7zm3f8P4D3p5nun/QH3AQv93hZAPvAscDKxf3YKeeWJbYXYJ+xO8e6HvPnsSNd9CNugxhvY5gMPEPvnUr+2xQagok/ZkG0jR/oUkL42IqbaObcNwLut8sp90T7eYftxwNP4tC28Ux7PA43AMmAdsMc51+3Nkvx6E23hPd4MjBrZGg+r7wNfBHq86VH4ty0c8JCZrfS+PQGGcBsZlo+BHoYBfW2Ej73j28fMCoF7gc845/aapXvJsVnTlL1j2sI5FwVmm1kp8HtgerrZvNt3bFuY2YVAo3NupZnNixenmfUd3xae05xzW82sClhmZq8eZN7DbosjfQQwoK+N8IHtZjYGwLtt9Mrf0e1jZmFig/+vnHO/84p92RZxzrk9wGPErouUmll8Jy359Sbawnu8BNg1sjUdNqcBF5vZBmLfJDyf2BGBH9sC59xW77aR2I7BSQzhNnKkA0BfGxFzP7DIu7+I2PnwePkHvKv7c4Dm+KHf253FdvVvB1Y75/416SE/tkWlt+ePmeUBC4hdAH0UuNybrW9bxNvocuAR5530fbtzzt3knKtxztUSGw8ecc69Dx+2hZkVmFlR/D5wNrCKodxGsuAix/nA68TOeX75SNdnBF7vncA2oItYYl9L7JzlcmCNd1vuzWvEPiW1DngJqD/S9R/Cdjid2OHpi8Dz3t/5Pm2LY4HnvLZYBdzslU8GVgBrgd8COV55rje91nt88pF+DcPULvOAB/zaFt5rfsH7ezk+Pg7lNqJIRJTxAAAAOUlEQVT/BBYR8akjfQpIRESOEAWAiIhPKQBERHxKASAi4lMKABERn1IAiIj4lAJARMSnFAAiIj71v+zGQWM3YvqrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.02) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1e, actions_1e = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1e],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1e])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1e],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0.01) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_1f, actions_1f = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1f],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_1f])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1f],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon对平均收益的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon对平均收益的影响\")\n",
    "plt.clf()\n",
    "plt.xlabel(\"Round\")\n",
    "plt.ylabel(\"Reward\")\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_0],10),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1a],10),label ='0.05')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1e],10),label ='0.02')\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_1f],10),label ='0.01')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0],1),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a],1),label ='0.05')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1e],1),label ='0.02')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1f],1),label ='0.01')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0],1),label ='0.1', alpha = .7)\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a],1),label ='0.05', alpha = .7)\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1e],1),label ='0.02', alpha = .7)\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1f],1),label ='0.01', alpha = .7)\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0][100:200],1),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a][100:200],1),label ='0.05')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1e][100:200],1),label ='0.02')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1f][100:200],1),label ='0.01')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,100)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_0][1100:1200],1),label ='0.1')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1a][1100:1200],1),label ='0.05')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1e][1100:1200],1),label ='0.02')\n",
    "plt.plot(moving_average([sum(reward) for reward in actions_1f][1100:1200],1),label ='0.01')\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(35,65)\n",
    "plt.xlim(0,100)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(density([sum(reward) for reward in actions_0][100:200]),label ='0.1')\n",
    "plt.plot(density([sum(reward) for reward in actions_1a][100:200]),label ='0.05')\n",
    "plt.plot(density([sum(reward) for reward in actions_1e][100:200]),label ='0.02')\n",
    "plt.plot(density([sum(reward) for reward in actions_1f][100:200]),label ='0.01')\n",
    "# plt.plot([50]*3000)\n",
    "plt.ylim(0,1)\n",
    "plt.xlim(20,81)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.plot(density([sum(reward) for reward in actions_0][1100:1200]),label ='0.1')\n",
    "plt.plot(density([sum(reward) for reward in actions_1a][1100:1200]),label ='0.05')\n",
    "plt.plot(density([sum(reward) for reward in actions_1e][1100:1200]),label ='0.02')\n",
    "plt.plot(density([sum(reward) for reward in actions_1f][1100:1200]),label ='0.01')\n",
    "# plt.plot([50]*3000)\n",
    "plt.ylim(0,1)\n",
    "plt.xlim(20,81)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "不同epsilon玩家决策的影响\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 玩家总收益10轮移动平均，不同gamma对比\n",
    "print(\"不同epsilon玩家决策的影响\")\n",
    "plt.clf()\n",
    "plt.xlabel(\"Round\")\n",
    "plt.ylabel(\"Variance\")\n",
    "plt.plot(variance([sum(reward) for reward in actions_0],10),label ='0.1')\n",
    "plt.plot(variance([sum(reward) for reward in actions_1a],10),label ='0.05')\n",
    "plt.plot(variance([sum(reward) for reward in actions_1e],10),label ='0.02')\n",
    "plt.plot(variance([sum(reward) for reward in actions_1f],10),label ='0.01')\n",
    "# plt.plot([50]*3000)\n",
    "# plt.ylim(35,65)\n",
    "plt.xlim(0,500)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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xRQ1nDWjPny8ZdMAcbWVNHSUVNUxfnMefZn5DTHgI14ztyuOzfdNVV4zszH0XDGj0b1FdW89DH61lUfYueqTE8NbXvh1hx9gITuvXnhtO7M5Nr35Nzs5yPr3zJDYUltEtqU1DCNXVOx6euZbaOscNJ3Y/4CDAOcfcbwp44IO1bCgs452fj2FQWlzD489/vok/vLeaswd24JFLBh0Q3nvXve31ZRRX1HBKn3aM6JrAR6u2UVxRQ87OPQ2jmeAgY9rk4YztkdToNq7aWsxlT39Fu9gIKqrr2FJUQVRYMMvvPY0X5mdz3/trOHdQR64c2aXRD31VbR23v+EbRQGcPaADT/x0SEPQF1fUsLWogl7tYvjJM1+yKNu3gzmlTwqz1hQANIwaAR75zzf8bU4W4SFBpMZHsqeqjmevyiA+OpTU+Chydu6hqraenu0Of0oxv7iC381YxcxV2xvKzGBo5/gDdnwAk0Z14cwBHRjQKZaRD8wmLSGK1342kr/P28D/zdsAQIfYCJ6bNIy+HdtSV+84+6+fkZYQRVZBGZt27AHgletGMLp7EhOfmk9mzm7e/cWBf+eD+dvs9Tzy8Tq6JUczZWxXTu6dQmJ0OOXVtazYUsyY7kmc8PBcuiZF87vz+hIaHHRAWMxYtpUH3l/Dvef2ZUjn+B80VVlVW0dVbT1rtpZw3/trWLGluNF6J/ZMZto1w79TPu+bAq57MfM7I+n0xCiyd5Y3hPq3HVMBMDA1ltLKWiJCg1mTX8Kobol8uXHnAaOCxtz33mq2FFXw4cptAAxMjaVbUjTvLN0KQGRoMBU1dYzslkCvdjFM+zLHfwRiPHrpYGKjQimvquPaFzMbnnPscUn8+ZJBfLAin/s/WNNwlA++N/6IrgkMSo3jtlN7NuxglmzezYX/Nx+AT341ntjIUAxrmJqpravnr7PXMygtjiAzPs/aQWp8JOcO6tjokQVAzs49PDVvA68tyj2gPDI0mN+f34+w4CBCg4P4xStfk9QmnMFpscxaU8BHt55AemI05dV1JESHNRy5ntQr5YCjQuccT3+6kQc/XMtPR3TmgQt9O/TcXeVc8dwCtuyuaAi0FyYPY3yvFNZuKyEkKIjuydE/eOpi1B9nk19cyZw7TqSbf8rk38u2ctOrS75Td+LQVE7uncLPX/4agNjIUO49ty8XHZ9KfnEFT87N4qWvNtMpLpL7L+zP+G9dWllVW8efZ37Ds59tontyNDed3IMLhnSiqraOm19d0rATe3jiQC7NSDtgXeccJZW1zFi2lR4pbRjZ7ftPKr+6cDN3v+0L9QsGd+SdpVs5oUcSn63fQcfYCN6/+QTio8O+9zlyd5Xz0oIcnv5kIw9eNICcXeXU1zve+jqPHWXVXDYsjdcW5XJKn3ac0COJC4/vxPysHUybn8PUycMOCLirnl/Ip+sKv/f13v75aFZuKWZIWjwDUmMB34hy3fZS+nWM/U595xwXPzWfrzcXHVD+8/HdufOM3vxq+jIyc3Y37Lj32nsA9eYNo8hIT2BnWRVD75tFaLARGxlKUXkN5w3qyPjeKdy83/tg6tXDuOfdlcREhDLjl2Po99uZVNfVkxITzmXD0pg4NI3OiQefJh7/p7lk7yxvGH3vFREaRGVNfUP5901HOeeaPDXpnOOTdYUsyt7FZ+t3MHFoKm0jQlmUvYuXF2zmgsEdufD4VPKLKpg4NJV6Byc/Mo+I0GDuOLUnN778NW0jQnj88iGM6pbIhEc+ITjIuO6Ervzj80384fz+HN85jpiI0GMrAK4end4wVzhlbFfuPKMX/z19OR+tzOcnw9LIzN7NlLFduWS/D+3KLcWc87fPAd9O8eKhnXh5wWacg0uGpnLzhB60axvBu0u3cOaADkSHBVNX79hdXsPlz35Flv/qDICuSdH8Y1IGq7aWcN6gjg3lGwvLyNlVTlJ0OFPnb+KqUekMPsiRSGFpFYWlVfTt2LbRx5tiR1kVJ/15Hl2TorkkI41+HdvSMTbygCOTrIIyOsRGEB0eQk1d/QHD8B/itteXMnvNdhb95hS2FlVy62tLyCooo11sBBsL9/DIJYO4eGjT5263l1QSGhxEwn47w4KSSoY/MBvwTZH8a8kWIvzTGQCdE6J4/uoM7n57BYuyd/PxbeO45bWlrM4vYXh6Av+8dvj3nlCcu7aABz9cyzfbS0mNjyQxOoxlecXcekoPxvVM5vjO8U3enr2qaus4/g8fM+a4JO45py8XPTWfiuo6Ls1I49dn9vrBJzzr6x3nP/nFAUeOwUFGXGQoO/dUExYSxML/mUBc1PeHyafrCrn//TXceUYvnv1sI2u3ldK/YyyfZ+1otH5cVCh/njiINzJz+c/q7bxy7QhGf+tIc/32Uk599FPuOacvubvKOa1fO3q3b0t8VChmhnOOunpHzq5ysnfsYVBaHHe+uZw5aws4vnMcb904umFnmrurnPjoMKpq6vjLx+saRuedE6K4cmQXRnZLZEBqLP9aksdtry8jMTqMnXuque2UnizM3smXG3YSGhzEi9cMZ0Qj4Xz328t5dWEu95zTl4lDUxn0+/8c8HjXpGhydu4hPTGaGTeNbfQihZayJr+EyVMXsW2/S4D7d2rLqG6JPPvZJqZOHsZJvVLI3VVOQnQY0f62Lc7ZzdVTFzZ8Lvb6x1UZnNqv/bERAD2uf4LbTu3J/763mlP7tuPZq3zbVFxew/lPfk72Tt88csfYCD658yRq6xxnPP4pOTvLG+beU+MjiYsKY1luEfnFFZzSp90B84zftjyviOtezOSqUenU1TsuzUhrtitTmltZVS3RBzlv0Rw+WVfIpOcXktFl35D+kUsGcf7gjizM3sXIroktclIr/S7fFwA3/fEsSip929jrno+oq3fce25fJo/pSmFpFSMemMWZ/Tvw/op84qJC+fcvx/6giwVq6+p55rONfLAin1VbS7h1Qk9uOaVHs25DaWUN4SHBhIUE9rWaF77YxO/+vZrQYKNd2wh+c3YferVvywMfrGFkt0SmjO16WM9XWVNHcJARGhzE1qIK3v46j5+O6MJjs9ZRXVtP3u4KPs/aQXhIEFW1vqnD0d0TeWnKCIKCjM/WF/L211v415ItAHxx18l0+tY05cFU19bzeVYho7snNXr+bK/XF21m/fYyrh/XjZS2+z57zjne+noLH63cxrD0eK4f1w0zI7+4gp88/RWbd5Xzm7P7cO0J3RrW2fs+Gd8rhaevHEpocBAfrdxGeGgQafGRBAcF0a5tOHX1jpiI0Maac0RM/WITv//3aq4d25Xnv9hEveOAfV5jKmvq+GrjTuKjwpi9Zjt/9V+RlPPQOT/+AOjca4CbOe8LKmvquHZaJq9dP5Ie+81Trsgr5v4PVnNm/w7cO2MV14zpSmKbMP408xsALh/emT9e1Phc9KEEMtQ7ljjneHjmNzzln6M9rW87nrpiaItfUbIir5iQYKNPh30jpk/WFfLknCyenzys4QjtmhcWMWdtAUEGX949gXZtDz+omzIyOpJ276lmyrRF3HtuPwamxrb4+9I5x9QvsvnDe6v52bhudIqP5LfvrmJcz2SuGtmFBz9aS1ZBGZGhwfTt2Ja3bhzdou35oVZuKWbKtEVsL6mibUQIFx2fSv9OsRSVV3Pf+2uYeeu4hqvxjlbbSypp1zaCuWsLyMzZxY3jjzus0cjctQVMfmHRsREAGRkZLjPTN/9+qB3yb99dyYv+K2z6dGjLcSlt+O05fZvlmnavc87x7+X59G4f06QThS1p155q7n9/DRcO6XTQk7Jy+OrrHavzS+jnn7K8592VB1zS+L8X9OeKEZ2pq3ffO5o+0nJ3lTPp+YVU1/lGMnsN75rAGz8b1YotO3L+s2obp/fvcGwFwKE453hveT5vZObywIUDjorvDIgcS1bkFXPxU/OJiwrlP7eNO+R5h9ZUUV3Hk3OzeGJuFiFBxts/H83A1ENfKXSsOCZOAh9OAIhIy8vbXU5idPj3fjfkaLKjrIpgs0NecXWsCTQA9FMQIvIdP4bfoNrfwS6jlu939EzqiYjIEaUAEBHxqIADwMyCzWyJmb3nX+5qZgvMbL2ZvW5m3pqUExH5kWiOEcAtwJr9lh8CHnXO9QB2A1Oa4TVERKSZBRQAZpYKnA38w79swMnAm/4q04ALAnkNERFpGYGOAB4D7gTq/cuJQJFzbu+PVuQBnQJ8DRERaQFNDgAzOwcocM4t3r+4kaqNftHAzK43s0wzyyws/P5fLxQRkeYXyAhgDHCemWUDr+Gb+nkMiDOzvd8vSAW2Nrayc+4Z51yGcy4jOTk5gGaIiEhTNDkAnHN3O+dSnXPpwGXAHOfcfwFzgYn+apOAdwNupYiINLuW+B7Ar4HbzSwL3zmB51rgNUREJEDN8lMQzrl5wDz//Y3Ad//PMxEROarom8AiIh6lABAR8SgFgIiIRykAREQ8SgEgIuJRCgAREY9SAIiIeJQCQETEoxQAIiIepQAQEfEoBYCIiEcpAEREPEoBICLiUQoAERGPUgCIiHiUAkBExKMUACIiHqUAEBHxKAWAiIhHKQBERDxKASAi4lEKABERj1IAiIh4lAJARMSjFAAiIh6lABAR8SgFgIiIRykAREQ8SgEgIuJRCgAREY9SAIiIeJQCQETEoxQAIiIepQAQEfGoJgeAmaWZ2VwzW2Nmq8zsFn95gpl9bGbr/bfxzddcERFpLoGMAGqBO5xzfYCRwC/MrC9wFzDbOdcDmO1fFhGRo0yTA8A5l++c+9p/vxRYA3QCzgem+atNAy4ItJEiItL8muUcgJmlA0OABUA751w++EICSGmO1xARkeYVcACYWRvgLeBW51zJYax3vZllmllmYWFhoM0QEZHDFFAAmFkovp3/y865t/3F282sg//xDkBBY+s6555xzmU45zKSk5MDaYaIiDRBIFcBGfAcsMY595f9HpoBTPLfnwS82/TmiYhISwkJYN0xwJXACjNb6i/7H+BB4A0zmwJsBi4JrIkiItISmhwAzrnPATvIwxOa+rwiInJk6JvAIiIepQAQEfEoBYCIiEcpAEREPEoBICLiUQoAERGPUgCIiHiUAkBExKMUACIiHqUAEBHxKAWAiIhHKQBERDxKASAi4lEKABERj1IAiIh4lAJARMSjFAAiIh6lABAR8SgFgIiIRykAREQ8SgEgIuJRCgAREY9SAIiIeJQCQETEoxQAIiIepQAQEfEoBYCIiEcpAEREPEoBICLiUQoAERGPUgCIiHiUAkBExKMUACIiHqUAEBHxqBYJADM7w8y+MbMsM7urJV5DREQC0+wBYGbBwJPAmUBf4HIz69vcryMiIoFpiRHAcCDLObfROVcNvAac3wKvIyIiAWiJAOgE5O63nOcvExGRo0hICzynNVLmvlPJ7Hrgev9ilZmtbIG2/BglATtauxFHCfXFPuqLfdQX+/QKZOWWCIA8IG2/5VRg67crOeeeAZ4BMLNM51xGC7TlR0d9sY/6Yh/1xT7qi33MLDOQ9VtiCmgR0MPMuppZGHAZMKMFXkdERALQ7CMA51ytmf0SmAkEA88751Y19+uIiEhgWmIKCOfcB8AHh7HKMy3Rjh8p9cU+6ot91Bf7qC/2CagvzLnvnJ8VEREP0E9BiIh4VKsHgNd+NsLMnjezgv0vezWzBDP72MzW+2/j/eVmZn/1981yMzu+9VrevMwszczmmtkaM1tlZrf4y73YFxFmttDMlvn74vf+8q5mtsDfF6/7L6rAzML9y1n+x9Nbs/0twcyCzWyJmb3nX/ZkX5hZtpmtMLOle6/4ac7PSKsGgEd/NuIF4Ixvld0FzHbO9QBm+5fB1y89/P+uB546Qm08EmqBO5xzfYCRwC/8f3sv9kUVcLJzbhAwGDjDzEYCDwGP+vtiNzDFX38KsNs5dxzwqL/eseYWYM1+y17ui5Occ4P3u/S1+T4jzrlW+weMAmbut3w3cHdrtukIbXc6sHK/5W+ADv77HYBv/PefBi5vrN6x9g94FzjV630BRAFfAyPwfdkpxF/e8FnBd4XdKP/9EH89a+22N2MfpPp3bCcD7+H7cqlX+yIbSPpWWbN9Rlp7Ckg/G+HTzjmXD+C/TfGXe6J//MP2IcACPNpaAiRhAAACEElEQVQX/imPpUAB8DGwAShyztX6q+y/vQ194X+8GEg8si1uUY8BdwL1/uVEvNsXDviPmS32/3oCNONnpEUuAz0MP+hnIzzsmO8fM2sDvAXc6pwrMWtsk31VGyk7ZvrCOVcHDDazOOBfQJ/Gqvlvj9m+MLNzgALn3GIzG7+3uJGqx3xf+I1xzm01sxTgYzNb+z11D7svWnsE8IN+NsIDtptZBwD/bYG//JjuHzMLxbfzf9k597a/2JN9sZdzrgiYh++8SJyZ7T1I2397G/rC/3gssOvItrTFjAHOM7NsfL8kfDK+EYEX+wLn3Fb/bQG+A4PhNONnpLUDQD8b4TMDmOS/PwnffPje8qv8Z/dHAsV7h34/duY71H8OWOOc+8t+D3mxL5L9R/6YWSRwCr4ToHOBif5q3+6LvX00EZjj/JO+P3bOubudc6nOuXR8+4M5zrn/woN9YWbRZhaz9z5wGrCS5vyMHAUnOc4C1uGb8/x/rd2eI7C9rwL5QA2+xJ6Cb85yNrDef5vgr2v4rpLaAKwAMlq7/c3YD2PxDU+XA0v9/87yaF8MBJb4+2Il8Ft/eTdgIZAFTAfC/eUR/uUs/+PdWnsbWqhfxgPvebUv/Nu8zP9v1d79Y3N+RvRNYBERj2rtKSAREWklCgAREY9SAIiIeJQCQETEoxQAIiIepQAQEfEoBYCIiEcpAEREPOr/Axn9BFpfut0VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=1) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_sp, actions_sp = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_sp],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_sp])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_sp],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "平均收益对比\n",
      "  0.01 49.75\n",
      "  0.02 49.5725\n",
      "  0.05 49.06\n",
      "   0.1 48.335\n",
      "random 46.4625\n"
     ]
    }
   ],
   "source": [
    "print(\"平均收益对比\")\n",
    "print(\"  0.01\",sum(sum(r) for r in rewards_1f[100:500])/len(rewards_1f[100:500]))\n",
    "print(\"  0.02\",sum(sum(r) for r in rewards_1e[100:500])/len(rewards_1e[100:500]))\n",
    "print(\"  0.05\",sum(sum(r) for r in rewards_1a[100:500])/len(rewards_1a[100:500]))\n",
    "print(\"   0.1\",sum(sum(r) for r in rewards_0[100:500])/len(rewards_0[100:500]))\n",
    "# print(\"   0.3\",sum(sum(r) for r in rewards_1b[400:500])/len(rewards_1b[400:500]))\n",
    "# print(\"   0.6\",sum(sum(r) for r in rewards_1c[400:500])/len(rewards_1c[400:500]))\n",
    "# print(\"   0.9\",sum(sum(r) for r in rewards_1d[400:500])/len(rewards_1d[400:500]))\n",
    "print(\"random\",sum(sum(r) for r in rewards_sp[100:500])/len(rewards_sp[100:500]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "决策方差对比\n",
      "  0.01 0.7968999999999999\n",
      "  0.02 1.3897750000000002\n",
      "  0.05 3.2007749999999997\n",
      "   0.1 7.08734375\n",
      "random 26.14444375\n"
     ]
    }
   ],
   "source": [
    "print(\"决策方差对比\")\n",
    "print(\"  0.01\",np.var([sum(r) for r in actions_1f[100:500]]))\n",
    "print(\"  0.02\",np.var([sum(r) for r in actions_1e[100:500]]))\n",
    "print(\"  0.05\",np.var([sum(r) for r in actions_1a[100:500]]))\n",
    "print(\"   0.1\",np.var([sum(r) for r in actions_0[100:500]]))\n",
    "# print(\"   0.3\",sum(sum(r) for r in rewards_1b[400:500])/len(rewards_1b[400:500]))\n",
    "# print(\"   0.6\",sum(sum(r) for r in rewards_1c[400:500])/len(rewards_1c[400:500]))\n",
    "# print(\"   0.9\",sum(sum(r) for r in rewards_1d[400:500])/len(rewards_1d[400:500]))\n",
    "print(\"random\",np.var([sum(r) for r in actions_sp[100:500]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益\n"
     ]
    },
    {
     "data": {
      "image/png": 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gdwHXdN2eORZHx+ga4M7qDvo+11XVDVW1qaoWGM0Hd1bV22hwLJKckeTnjt4Gfhe4n3G+RwZwkuNK4D8ZHfN8/6zrmcLr/QxwEPgJo8TexuiY5S5gX7c8u+sbRldJfQu4D9gy6/rHOA6/xWj39GvAvd3flY2Oxa8B93RjcT/w5137i4AvA/uBfwDWd+2nd+v7u/tfNOvXMKFxeS1wW6tj0b3mr3Z/DxydH8f5HvGbwJLUqFkfApIkzYgBIEmNMgAkqVEGgCQ1ygCQpEYZAJLUKANAkhplAEhSo/4fvSkKgN0c4BwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "选择1的人数\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "玩家总收益10轮移动平均\n"
     ]
    },
    {
     "data": {
      "image/png": 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V9c2uucmxOKCqHgdupXdeZHGSA3+kzXy9vxiLbvmJwKPzW+nQnAe8M8n99L5J+Hx6ewQtjgVVtb2b7qT3h8FZDPA9MuoA8Gsjem4E1nSP19A7Hn6g/f3d2f1zgN0Hdv1e7NL7U/9qYHNVfXrGohbHYqL7y58kLwXeSu8E6C3ApV23Z4/FgTG6FPhOdQd9X+yq6sqqWlFVK+l9Hnynqt5Lg2OR5LgkLzvwGPh94G4G+R4Zg5McFwE/onfM8y9GXc88vN5rgR3AM/QSey29Y5YbgC3ddGnXN/SukvoxcBcwOer6BzgOb6S3e3oncEf3c1GjY/Ea4PZuLO4G/rJrPwO4DdgKfB04ums/ppvf2i0/Y9SvYUjj8mbgplbHonvN3+t+7jnw+TjI94h3AktSo0Z9CEiSNCIGgCQ1ygCQpEYZAJLUKANAkhplAEhSowwASWqUASBJjfp/3h1iqqeEUfsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建环境\n",
    "env = MinorityGame_1(50)\n",
    "# 创建玩家\n",
    "agent_101 = [QLearningAgent(env,gamma=0.1,learning_rate=0.1,epsilon=0) for _ in range(101)]\n",
    "# 博弈\n",
    "rewards_sp2, actions_sp2 = play_qlearning(env,agent_101,3000)\n",
    "print(\"玩家总收益\")\n",
    "# 玩家总收益（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_sp2],1))\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"选择1的人数\")\n",
    "# 选择1的人数（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot([sum(action) for action in actions_sp2])\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)\n",
    "print(\"玩家总收益10轮移动平均\")\n",
    "# 玩家总收益10轮移动平均（仅绘制前500轮）\n",
    "plt.clf()\n",
    "plt.plot(moving_average([sum(reward) for reward in rewards_sp2],10))\n",
    "plt.plot([50]*3000)\n",
    "plt.ylim(0,101)\n",
    "plt.xlim(0,500)\n",
    "plt.pause(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[167,\n",
       " 227,\n",
       " 227,\n",
       " 171,\n",
       " 226,\n",
       " 170,\n",
       " 169,\n",
       " 229,\n",
       " 227,\n",
       " 171,\n",
       " 169,\n",
       " 225,\n",
       " 172,\n",
       " 169,\n",
       " 224,\n",
       " 223,\n",
       " 168,\n",
       " 151,\n",
       " 227,\n",
       " 227,\n",
       " 225,\n",
       " 172,\n",
       " 170,\n",
       " 171,\n",
       " 227,\n",
       " 228,\n",
       " 226,\n",
       " 227,\n",
       " 228,\n",
       " 172,\n",
       " 170,\n",
       " 170,\n",
       " 228,\n",
       " 227,\n",
       " 171,\n",
       " 227,\n",
       " 145,\n",
       " 172,\n",
       " 171,\n",
       " 171,\n",
       " 171,\n",
       " 226,\n",
       " 228,\n",
       " 166,\n",
       " 227,\n",
       " 228,\n",
       " 228,\n",
       " 225,\n",
       " 172,\n",
       " 171,\n",
       " 225,\n",
       " 226,\n",
       " 227,\n",
       " 228,\n",
       " 224,\n",
       " 227,\n",
       " 225,\n",
       " 198,\n",
       " 227,\n",
       " 171,\n",
       " 223,\n",
       " 169,\n",
       " 169,\n",
       " 171,\n",
       " 170,\n",
       " 170,\n",
       " 170,\n",
       " 171,\n",
       " 172,\n",
       " 172,\n",
       " 227,\n",
       " 169,\n",
       " 170,\n",
       " 228,\n",
       " 227,\n",
       " 225,\n",
       " 227,\n",
       " 170,\n",
       " 226,\n",
       " 143,\n",
       " 225,\n",
       " 170,\n",
       " 170,\n",
       " 170,\n",
       " 168,\n",
       " 227,\n",
       " 228,\n",
       " 170,\n",
       " 227,\n",
       " 225,\n",
       " 170,\n",
       " 171,\n",
       " 168,\n",
       " 171,\n",
       " 226,\n",
       " 225,\n",
       " 168,\n",
       " 225,\n",
       " 170,\n",
       " 228,\n",
       " 172]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[sum([r[i] for r in rewards_1f[100:500]]) for i in range(101)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "840.7812959513775"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.var(_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[196,\n",
       " 183,\n",
       " 192,\n",
       " 193,\n",
       " 149,\n",
       " 190,\n",
       " 195,\n",
       " 177,\n",
       " 202,\n",
       " 187,\n",
       " 192,\n",
       " 184,\n",
       " 189,\n",
       " 187,\n",
       " 175,\n",
       " 178,\n",
       " 197,\n",
       " 177,\n",
       " 181,\n",
       " 190,\n",
       " 185,\n",
       " 184,\n",
       " 193,\n",
       " 184,\n",
       " 194,\n",
       " 188,\n",
       " 186,\n",
       " 187,\n",
       " 168,\n",
       " 165,\n",
       " 170,\n",
       " 182,\n",
       " 187,\n",
       " 180,\n",
       " 185,\n",
       " 181,\n",
       " 193,\n",
       " 174,\n",
       " 180,\n",
       " 177,\n",
       " 196,\n",
       " 167,\n",
       " 208,\n",
       " 189,\n",
       " 176,\n",
       " 166,\n",
       " 184,\n",
       " 168,\n",
       " 181,\n",
       " 186,\n",
       " 182,\n",
       " 208,\n",
       " 198,\n",
       " 183,\n",
       " 166,\n",
       " 190,\n",
       " 187,\n",
       " 182,\n",
       " 196,\n",
       " 181,\n",
       " 185,\n",
       " 200,\n",
       " 196,\n",
       " 161,\n",
       " 187,\n",
       " 193,\n",
       " 203,\n",
       " 176,\n",
       " 193,\n",
       " 181,\n",
       " 197,\n",
       " 167,\n",
       " 199,\n",
       " 189,\n",
       " 183,\n",
       " 198,\n",
       " 160,\n",
       " 170,\n",
       " 202,\n",
       " 182,\n",
       " 177,\n",
       " 189,\n",
       " 189,\n",
       " 190,\n",
       " 194,\n",
       " 186,\n",
       " 174,\n",
       " 180,\n",
       " 180,\n",
       " 162,\n",
       " 179,\n",
       " 194,\n",
       " 181,\n",
       " 174,\n",
       " 163,\n",
       " 181,\n",
       " 194,\n",
       " 180,\n",
       " 178,\n",
       " 197,\n",
       " 170]"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[sum([r[i] for r in rewards_sp[100:500]]) for i in range(101)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "123.07910989118714"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.var(_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "143"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min([sum([r[i] for r in rewards_1f[100:500]]) for i in range(101)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
